5 papers
Embedding linear codes over Z4 into self-orthogonal codes
Junmin An, Jon-Lark Kim, San Ling
The purpose of this paper is to investigate the self-orthogonal embedding problem for linear codes over Z4. We propose several tight bounds on the length of the shortest self-ortho…
Shortest LCD embeddings of binary, ternary and quaternary linear codes
Junmin An, Ji-Hoon Hong, Jon-Lark Kim +1
In the recent years, there has been active research on self-orthogonal embeddings of linear codes since they yielded some optimal self-orthogonal codes. LCD codes have a trivial hu…
Symmetric Sudoku-Type Games from Perfect Codes
Junmin An, Jae-Hyun Baek, Keon-Hwi Kim +2
This paper presents a novel construction method for symmetric Sudoku-type games based on Lee distance perfect codes and diameter perfect codes. The proposed method utilizes the til…
New bounds for codes over Gaussian integers based on the Mannheim distance
Minjia Shi, Xuan Wang, Junmin An +1
We study linear codes over Gaussian integers equipped with the Mannheim distance. We develop Mannheim-metric analogues of several classical bounds. We derive an explicit formula fo…
Shortest self-orthogonal embeddings of binary linear codes
Junmin An, Nathan Kaplan, Jon-Lark Kim +2
There has been recent interest in the study of shortest self-orthogonal embeddings of binary linear codes, since many such codes are optimal self-orthogonal codes. Several authors…